34975252440 has 384 divisors, whose sum is σ = 124776288000. Its totient is φ = 8786631168.

The previous prime is 34975252439. The next prime is 34975252453. The reversal of 34975252440 is 4425257943.

34975252440 is a `hidden beast` number, since 34 + 9 + 7 + 52 + 524 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42291307 + ... + 42292133.

It is an arithmetic number, because the mean of its divisors is an integer number (324938250).

Almost surely, 2^34975252440 is an apocalyptic number.

34975252440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34975252440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62388144000).

34975252440 is an abundant number, since it is smaller than the sum of its proper divisors (89801035560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34975252440 is a wasteful number, since it uses less digits than its factorization.

34975252440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 34975252440 in words is "thirty-four billion, nine hundred seventy-five million, two hundred fifty-two thousand, four hundred forty".